Answer:
Each part is 56 11/15 m long.
Step-by-step explanation:
325 4/5 - 150 3/5
= 170 1/5
170 1/5 = 851/5
851/5 / 3
= 851/5 * 1/3
= 851/15
= 56 11/15.
A line graph titled Video Rental Stores has year on the x-axis and stores (thousands) on the y-axis. In 2009, there were 4,000 stores.
The line graph shows the number of video rental stores for the years 2005 through 2012.
There were stores in 2009.
Answer:
its 4,000
Step-by-step explanation:
Halfway through the third quarter, how much of the game is left?
Write the answer as a proper fraction,
Gross profit of Inner Spark's company amounted to Php275,000. Net Sales is Php400,000 compute for cost of goods sold?
Answer:Cost of goods sold =Php125,000
Step-by-step explanation:
Profit = Cost Price-Selling Price
Also we know that
Gross Profit = Net Sales– Cost of Goods Sold
Php275,000=Php400,000– Cost of Goods Sold
Cost of Goods Sold=Php400,000-Php275,000=Php125,000
two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at 40 miles per hr. How many seconds after the front parts of the trains will meet their rear parts pass each other.
9514 1404 393
Answer:
5 seconds
Step-by-step explanation:
Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...
time = distance/speed
time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s
That is, the rear part of each train will be at point A 5 seconds after the front part.
The rear parts will pass each other 5 seconds after the front parts meet.
Someone please help with this khan assignment
Answer:
slopes is 1/4
y intercept is 3 i think the inequality would be y=mx+b so it would be y=1/4x+3
Step-by-step explanation:
please help HEYMLMUM
Answer:
A.
Step-by-step explanation:
Jeremiah spent $68 for concert tickets. He bought one adult ticket for $18 and several children's tickets for $10 each. Which number line represents the number of children's tickets Jeremiah bought?
Linear or Non Linear
The cost to ride in a taxi that initially charges $4 plus $0.25 per half mile
can someone help me with this question
What is the surface area of the cone in terms of π. Enter your answer in the box. and the radius is 8cm and the height is 15
Answer:
it should be 628.32 I'm not sure if I'm correct
Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?
Answer:
The mortgage chosen is option A;
15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470
Step-by-step explanation:
The details of the home purchase are;
The price of the home = $275,000
The mode of purchase of the home = Mortgage
The percentage of the loan amount payed as down payment = 20%
The amount used as down payment for the loan = $55,000
The principal of the mortgage borrowed, P = The price of the house - The down payment
∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000
The principal of the mortgage, P = $220,000
The formula for the total amount paid which is the cost of the loan is given as follows;
[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]
The formula for monthly payment on a mortgage, 'M', is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
A. When the mortgage term, t = 15-years,
The interest rate, r = 3%
The number of months over which the loan is payed, n = 12·t
∴ n = 12 months/year × 15 years = 180 months
n = 180 months
The monthly payment, 'M', is given as follows;
M =
The total amount paid over the loan term = Cost of the mortgage
Therefore, we have;
220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)
[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]
The minimum monthly payment for the loan, M ≈ $1,519.28
The total amount paid over loan term, A = n × M
∴ A ≈ 180 × $1,519.28 = $273,470
The total amount paid over loan term, A ≈ $270,470
B. When t = 20 year and r = 6%, we have;
n = 12 × 20 = 240
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]
The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276
The monthly payment, M = $1,576.15
C. When t = 30 year and r = 5%, we have;
n = 12 × 30 = 360
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]
The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163
The monthly payment, M ≈ $1,181.01
The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability
Therefore;
The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;
The total amount paid over the loan term = $270,470
You randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and I red
marble
NO LINKS!!
given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?
Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1Calculate the amount of money you will have in the bank after 5 years if you deposit 25.000 into a savings account that pays 3.0% interest com pounded continuously
Answer:
29045.86.
Step-by-step explanation:
Total = 25000e^(5*0.03) = 29045.86
A water pipe has a flow of 2 gallons per minute how many 2 qt could fill it in 1/2 hour?
Answer:
60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120
Step-by-step explanation:
Hope this helps!
Need help What is 6/10 in simplest form
Answer:
3/5
Step-by-step explanation:
35.
Step-by-step explanation:
The simplest form of 610 is 35.
Puteti sa ma ajutati va rog
Answer:
I read the title wrong, please remove my answer
Step-by-step explanation:
Add the two functions.
f(x) = 3x3 + 7x − 26
g(x) = x + 2
Answer:
1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C
2. G ( x ) = 1/2X^2 + 2x + C
Please help links=report and if correct I’ll mark you brainiest
Answer:
A is the correct answer.
Hope this helps [tex]\mathtt{: )}[/tex]
Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations?
Answer:
No solution
Step-by-step explanation:
Equation C :
y = 6x + 9
Equation D :
y = 6x + 2
By comparing both the equations with slope-intercept form of the equation,
y = mx + b
Where, m = Slope of the line
And b = y-intercept
Slopes of both the lines C and D are common as 6,
Therefore, both the lines will be parallel.
And the set of parallel lines has no solution.
Therefore, given set of equations have no solution.
Help please, not sure how to do this...
Answer:
8.38
Step-by-step explanation:
The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.
The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .
Answer:
A≈153.94mi²
Step-by-step explanation:
A = πr2 = π · 72 ≈ 153.93804mi²
find the missing side lengths of the triangle 20 units 21 units
Answer:
29
Step-by-step explanation:
In a triangle, a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Given this formula, we knoe c^2 is the product of 21^2 + 20^2.
This gives you 841. Now you just find the square root of 841 which is 29.
Hope this helps :)
April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}
s= p+3
(number of sports drinks= s)
(pizza slices= p)
PLEASE HELP AND EXPLAIN HOW TO DO THIS
Find Sn for the given geometric series.
1=0.11, 5=895.956875, =9.5
Answer:
1001.35
Step-by-step explanation:
Assuming
n
=
5
for which sum to be found.
We know sum of geometric series up to
n
th term is
S
n
=
a
1
⋅
r
n
−
1
r
−
1
Here
a
1
=
0.11
,
r
=
9.5
,
n
=
5
∴
S
5
=
a
1
⋅
r
5
−
1
r
−
1
=
0.11
⋅
9.5
5
−
1
9.5
−
1
≈
1001.35
[Ans]
Alyssa's mother was sick. Alyssa, went to the store and bought 2/10 pound of medicine, then another 1/10 of medicine. What would the answer be when you add them together? Denominator stays the same.
Convert 5 1/6 to a decimal through long division.
Answer:5.83
Step-by-step explanation:
If your input is 7 what is your output?
Answer:
the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32
Help please thank you:) QUICKLY!!!!!!!!!
Answer:
y = -8
Step-by-step explanation:
2x2 - 12
4 - 12 = -8
hope this helps
in
2. Susan is divorced and has one child that she pays for. She will file her taxes as a head of
household for federal income tax and single for state tax purposes. Susan's gross income is
$48,500. Susan lives in Louisiana
Answer:
what si the questions
Step-by-step explanation: